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International Applied Mechanics

, Volume 43, Issue 9, pp 988–999 | Cite as

Features of how surface waves form in a cylinder made of a hard material and filled with a fluid

  • G. L. Komissarova
Article

Abstract

The properties of harmonic surface waves in an elastic cylinder made of a rigid material and filled with a fluid are studied. The problem is solved using the dynamic equations of elasticity and the equations of motion of a perfect compressible fluid. It is shown that two surface (Stoneley and Rayleigh) waves exist in this waveguide system. The first normal wave generates a Stoneley wave on the inner surface of the cylinder. If the material is rigid, no normal wave exists to transform into a Rayleigh wave. The Rayleigh wave on the outer surface forms on certain sections of different dispersion curves. The kinematic and energy characteristics of surface waves are analyzed. As the wave number increases, the phase velocities of all normal waves, except the first one, tend to the sonic velocity in the fluid from above

Keywords

fluid-filled elastic cylinder dispersion equation wave number phase velocity hard and soft materials normal waves surface waves Stoneley wave Rayleigh wave 

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Copyright information

© Springer Science+Business Media, Inc. 2007

Authors and Affiliations

  • G. L. Komissarova
    • 1
  1. 1.S. P. Timoshenko Institute of MechanicsNational Academy of Sciences of UkraineKyiv

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